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Finding the Fourth Proportional to 388,209.44, 535,740.85 and 211,411.47

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Solution

The fourth proportional to 388,209.44, 535,740.85 and 211,411.47 is: 291,754.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,209.44 : 535,740.85 = 211,411.47 : x
  2. Step 2: Convert to fraction form
    388,209.44/535,740.85 = 211,411.47/x
  3. Step 3: Cross multiply
    388,209.44x = 535,740.85 × 211,411.47
  4. Step 4: Simplify right side
    388,209.44x = 113,261,760,637.55
  5. Step 5: Solve for x
    x = 113,261,760,637.55/388,209.44
  6. Step 6: Final answer
    x = 291,754.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.